Search a number
-
+
100613110136 = 237114110338677
BaseRepresentation
bin101110110110100000…
…0100011100101111000
3100121200220022120020112
41131231000203211320
53122023424011021
6114115424043452
710161200216420
oct1355500434570
9317626276215
10100613110136
11397405288a0
12175bb163588
1396458486c6
144c2665b480
15293ce96d5b
hex176d023978

100613110136 has 128 divisors (see below), whose sum is σ = 243281525760. Its totient is φ = 37871539200.

The previous prime is 100613110123. The next prime is 100613110141. The reversal of 100613110136 is 631011316001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582030 + ... + 2620706.

It is an arithmetic number, because the mean of its divisors is an integer number (1900636920).

Almost surely, 2100613110136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100613110136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121640762880).

100613110136 is an abundant number, since it is smaller than the sum of its proper divisors (142668415624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100613110136 is a wasteful number, since it uses less digits than its factorization.

100613110136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38845 (or 38841 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 100613110136 its reverse (631011316001), we get a palindrome (731624426137).

The spelling of 100613110136 in words is "one hundred billion, six hundred thirteen million, one hundred ten thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 103 154 164 206 287 308 328 412 451 574 616 721 824 902 1133 1148 1442 1804 2266 2296 2884 3157 3608 4223 4532 5768 6314 7931 8446 9064 12628 15862 16892 25256 29561 31724 33784 38677 46453 59122 63448 77354 92906 118244 154708 185812 236488 270739 309416 325171 371624 425447 541478 650342 850894 1082956 1300684 1585757 1701788 2165912 2601368 2978129 3171514 3403576 3983731 5956258 6343028 7967462 11100299 11912516 12686056 15934924 17443327 22200598 23825032 27886117 31869848 34886654 43821041 44401196 55772234 69773308 87642082 88802392 111544468 122103289 139546616 163332971 175284164 223088936 244206578 306747287 326665942 350568328 488413156 613494574 653331884 976826312 1143330797 1226989148 1306663768 1796662681 2286661594 2453978296 3593325362 4573323188 7186650724 9146646376 12576638767 14373301448 25153277534 50306555068 100613110136